Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
First subtract 12 from both sides, then subtract 2x from both sides, multiply both sides by -1, then divide by 4.
x > 3.5
Answer:
x ≈ 49.7°
Step-by-step explanation:
Since, the given triangle is an isosceles triangle,
Two sides having measure 17 units are equal.
Opposite angles of these equal sides will be equal.
Measure of the third angle = 180° - (x + x)°
By sine rule,

[Since, sin(180 - θ) = sinθ]



cos(x) = 
x = 49.68°
x ≈ 49.7°